Results 11 to 20 of about 3,209 (150)

Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions

Advanced Nonlinear Studies, 2021
Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
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Stability of combination of rarefaction waves with viscous contact wave for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large data

Advances in Nonlinear Analysis, 2022
In this article, we study the large-time behavior of combination of the rarefaction waves with viscous contact wave for a one-dimensional compressible Navier-Stokes system whose transport coefficients depend on the temperature.
Dong Wenchao, Guo Zhenhua
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Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation

, 2021
We use spectral analysis to reduce Cauchy problem for the coupled SasaSatsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower triangular factorisations of the jump matrix and a decomposition of the vector-valued spectral function ...
X. Geng
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Global Solutions of Modified One-Dimensional Schrödinger Equation

Communications in Mathematical Research, 2021
In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1.
Ting Zhang
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

, 2021
In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations F (D2u) = f (x) over exterior domains, where the Hessian matrix (D2u) tends to some symmetric positive definite matrix at ...
Xiaobiao Jia
semanticscholar   +1 more source

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

Open Mathematics, 2023
The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Choucha Abdelbaki, Boulaaras Salah Mahmoud, Jan Rashid   +2 more
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional

Advanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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Boundary layer analysis for a 2-D Keller-Segel model

Open Mathematics, 2020
We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
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Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations

Nonautonomous Dynamical Systems, 2022
In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai, Ezzinbi Khalil, Kriche Mohammed   +2 more
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Dynamical analysis of a reaction–diffusion mosquito-borne model in a spatially heterogeneous environment

Advances in Nonlinear Analysis, 2023
In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
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